Atkin-Lehner |
2- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49610r |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-798974011000 = -1 · 23 · 53 · 117 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6353531,6163587145] |
[a1,a2,a3,a4,a6] |
Generators |
[1456:-675:1] |
Generators of the group modulo torsion |
j |
-16010801205512777929/451000 |
j-invariant |
L |
7.125649078355 |
L(r)(E,1)/r! |
Ω |
0.47220269604962 |
Real period |
R |
2.5150389645392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510b2 |
Quadratic twists by: -11 |